Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average of X, Y, Z is 24. Also, X:Y = 2:3 and X+Y = 60, then find the value of (X-Z)?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

X+Y+Z = 24*3 = 72 X:Y = 2:3 (Given)
Let ‘X’ to be 2a & ‘Y’ to be 3a
X+Y = 60 (Given)
2a+3a = 60
5a = 60
a = 12
Hence, X = 24 & Y = 36
From equation (1)...
Z = 72 - 60
Z = 12
Hence, X - Z = 24-12 = 12.

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Filed Under: Average
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Q:

50.003% of 99.8÷49.988 = ?

A) 2 B) 0
C) 1 D) 50
 
Answer & Explanation Answer: C) 1

Explanation:

50.003% of 99.8 ÷ 49.988 = ?

 

? ~= (50 x 100/100)/50

 

? ~= (50 x 100)/(100 x 50)

 

? ~= 1

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Filed Under: Simplification
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Q:

A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ≤ 15)?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

Explanation:
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Q:

A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?

A) 5 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: C) 8

Explanation:
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Filed Under: Area
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Q:

If in a two digit number, the digit at unit place is z and the digit at tens place is 8, then the number is

A) 80z + z B) 80 + z
C) 8z + 8 D) 80z + 8
 
Answer & Explanation Answer: B) 80 + z

Explanation:
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Filed Under: Problems on Numbers
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Q:

4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age ?

A) 10 years B) 12 years
C) 14 years D) 8 years
 
Answer & Explanation Answer: A) 10 years

Explanation:
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Q:

A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?

A) 1:42 p.m. B) 1:27 p.m.
C) 2:04 p.m. D) 1:49 p.m.
 
Answer & Explanation Answer: D) 1:49 p.m.

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Two numbers are 30% and 60% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 75 percent B) 42.86 percent
C) 30 percent D) 50 percent
 
Answer & Explanation Answer: A) 75 percent

Explanation:
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Filed Under: Percentage
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